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Finding the Fourth Proportional to 86,700.96, 130,270.68 and 83,201.76

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Solution

The fourth proportional to 86,700.96, 130,270.68 and 83,201.76 is: 125,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,700.96 : 130,270.68 = 83,201.76 : x
  2. Step 2: Convert to fraction form
    86,700.96/130,270.68 = 83,201.76/x
  3. Step 3: Cross multiply
    86,700.96x = 130,270.68 × 83,201.76
  4. Step 4: Simplify right side
    86,700.96x = 10,838,749,852.40
  5. Step 5: Solve for x
    x = 10,838,749,852.40/86,700.96
  6. Step 6: Final answer
    x = 125,013.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.